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Finding the Fourth Proportional to 4,903.65, 6,766.62 and 2,914.68

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Solution

The fourth proportional to 4,903.65, 6,766.62 and 2,914.68 is: 4,022.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,903.65 : 6,766.62 = 2,914.68 : x
  2. Step 2: Convert to fraction form
    4,903.65/6,766.62 = 2,914.68/x
  3. Step 3: Cross multiply
    4,903.65x = 6,766.62 × 2,914.68
  4. Step 4: Simplify right side
    4,903.65x = 19,722,531.98
  5. Step 5: Solve for x
    x = 19,722,531.98/4,903.65
  6. Step 6: Final answer
    x = 4,022.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.